A fascinating activity encouraging pupils to think about 'Fixed Points', things that stay the same when there is a change. For example, in the doubling function 0 is a fixed point as doubling keeps it the same. These fixed points have surprising applications, including the amazing result that if you scrunch up one piece of paper and put it on top of a flat identical piece, at least one point is in the same place! Pupils are guided along with a presentation with things for them to think about along the way. Some of the language is GCSE level but the ideas are applicable for all ages.

Nine provocative questions to get pupils thinking about infinity. Each one has footnotes on the Powerpoint to guide towards the answer. What are Zeno’s paradoxes? Is 0.9999999999999999999… the same as 1? What is the smallest decimal number more than 3? What is infinity plus one? What is Hilbert’s Hotel? If something is true for the first million numbers, is it true for all the numbers? What is 1 – 1 + 1 – 1 + 1 – 1 … equal to? Are some infinities bigger than others? Are there more: numbers, fractions, or decimals?

A short Powerpoint on common confusions such as 6 and 0, s and 5, ( and c and so on. Pupils are made aware of the pitfalls, and given tips for how to avoid them.

Worked examples and questions on these four topics: Substitute values into expressions and evaluate Multiply two brackets Solve inequalities Create and solve inequalities for problems in words Solutions included

A series of examples and questions on the following topics: Express a change in value as Percentage Calculate Compound Interest Reverse Percentage Change Appreciation/Depreciation by a Percentage Provided with solutions

A series of fun challenges working out what comes next. Some are mathematical, some require more lateral thinking. Good as an extension activity. Full solutions provided.

A financial activity to design your own bedroom and pay for it. You will need something like the Argos Catalogue (or IKEA catalogue) to use.

This is a free-standing resource on ordering decimal numbers. It involves questions like 3 x 500 up to things like 300 x 22 ÷ 60 It's taken from a Murder Mystery Package I wrote hence it includes a small riddle element at the end. There are two levels of difficulty (A is easier than B) that both have the same solution. Full solutions included.

A series of eight small sets of printable questions, each followed by an estimation question on the Powerpoint which uses the answers you have just calculated. The class work on the sets of questions individually then all attempt to estimate the final answer. I have found this very effective as a general revision activity with pupils in teams, scoring points out of 5 for the revision questions, and also a mark out of 5 for the quality of each estimate. The numeracy skills revised are: 1 - Rounding 2 - Perimeter and Area 3 - Angles 4 - Long Multiplication 5 - Units 6 - Decimals 7 - Big Numbers 8 - Time Provided with answers.

A fun activity to practice learning about the straight line. Includes - drawing graph from data points - working out the gradient - working out the y-intercept - working out the equation of a line from the graph - using the equation to interpolate missing points Solutions included

These notes complement my Course Notes for this SQA course. They include more further examples, more complicated statistical tests and links to Excel for examples.

A series of worksheets exploring the link between door codes, Euler Graphs and also De Brujn Graphs. This will introduce pupils to the concepts of - vertices - edges - degree of vertices - directed graphs

Two homeworks and a revision sheet on basic numeracy for National 4 Maths or National 4 Lifeskills Covers things like: decimals, money, fractions, ratio

A series of five homeworks covering the topics of - time (hours, days, weeks etc) - hourly salaries - tax - loans and repayments - money exchange - budgeting

A game to revise simple integration. Each catchphrase picture is hidden behind nine expressions. Randomly select a pupil, and if they can integrate their chosen expression they get 10 seconds to guess at the picture hidden below.

Two starters on calculating back bearings. The first relies on estimating bearings, the second on calculating a back bearing from a given bearings.

Some infinite sums that (if you go on long enough) add up to Pi. Pupils can try these with a calculator and see how far they get. More advanced pupils can think about which one converges the fastest, and why

A simple problem about inviting six people to a party - will there always be a group that know each other, or a group that are all strangers? An introduction to the idea of edges and vertices, in the form of a fun problem.

A simple worksheet with many questions such as 'reduce £70 by 20%'

Four worksheets covering the following topics - differences between times (minutes, hours days) - hourly wages (including time and a half and double time) Used for National 4 Lifeskills Finance Module